# Maximum - math word problems

#### Number of problems found: 70

• Maximum area of rhombus Calculate the interior angles at which equilateral rhombus has a maximum area.
• Maximum of volume The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
• Fall The body was thrown vertically upward at speed v0 = 79 m/s. Body height versus time describe equation ?. What is the maximum height body reach?
• Butterflies and bees There were 35 flowers in the garden. The butterflies were on 17 flowers. There were butterflies and bees on 8 flowers. Can you find out on how many flowers were only bees? Note. there was a maximum of one butterfly and a maximum of one bee on each flower.
• Camp In a class are 26 children. During the holidays 16 children were in the camps and 14 children on holiday with their parents. Determine the minimum and maximum number of children that may have been in the camp and on holiday with their parents at the same
• Tiles From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.
• Statue On the pedestal high 4 m is statue 2.7 m high. At what distance from the statue must observer stand to see it in maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m.
• Cone Into rotating cone with dimensions r = 8 cm and h = 8 cm incribe cylinder with maximum volume so that the cylinder axis is perpendicular to the axis of the cone. Determine the dimensions of the cylinder.
• Railway wagon The railway wagon holds 75 m3 load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
• Digits Write the smallest and largest 2-digit number.
• Two integers Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
• Speedometer The speedometer of a car reads 66 km/h. It's accurate to within 4.1% What is the maximum possible error?
• One green In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
• Glasses Imagine a set of students in your class (number of students: 19), who wears glasses. How much minimum and maximum element may contain this set.
• Classmates Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have?
• Trousers In the class was 12 students. Nine students wearing trousers and turtleneck eight. How many students worn trousers with a turtleneck?
• Left handed It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar where there are 30 participants?
• Forest ranger Forest ranger watching from the hide deers. At one time point he can see 6 deers. How many maximum deers can be see by 3 rangers at same time?
• Shape Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible.
• Circle Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?

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